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Finding the Fourth Proportional to 517,428.91, 776,271.50 and 247,762.24

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Solution

The fourth proportional to 517,428.91, 776,271.50 and 247,762.24 is: 371,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,428.91 : 776,271.50 = 247,762.24 : x
  2. Step 2: Convert to fraction form
    517,428.91/776,271.50 = 247,762.24/x
  3. Step 3: Cross multiply
    517,428.91x = 776,271.50 × 247,762.24
  4. Step 4: Simplify right side
    517,428.91x = 192,330,761,806.80
  5. Step 5: Solve for x
    x = 192,330,761,806.80/517,428.91
  6. Step 6: Final answer
    x = 371,704.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.